EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : CBSE Grade VII
License : Non Commercial Use
Question 1
1.
    • Which of the following is an irreducible factor of
    • 26
      x
      4
       
      y
      4
       
      z
    • ?
  • (i)
    x
    z
    2
     
  • (ii)
    y
    4
     
    z
  • (iii)
    x
    4
     
    y
    4
     
    z
    2
     
  • (iv)
    x
    4
     
    y
  • (v)
    x
Question 2
2.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    4
  • (ii)
    (
    8
    e
    3
     
    8
    e
    +
    7
    )
  • (iii)
    (
    8
    e
    8
    )
  • (iv)
    (
    8
    e
    4
     
    6
    e
    3
     
    +
    4
    e
    2
     
    +
    6
    e
    5
    )
  • (v)
    (
    8
    e
    2
     
    )
Question 3
3.
    • The value of
    • (
      6
      r
      )
    • +
    • (
      3
      r
      )
    • +
    • (
      3
      r
      )
    • +
    • (
      7
      r
      )
    • is
  • (i)
    (
    17
    r
    )
  • (ii)
    (
    20
    r
    )
  • (iii)
    (
    18
    r
    )
  • (iv)
    (
    19
    r
    )
  • (v)
    (
    22
    r
    )
Question 4
4.
    • The value of
    • (
      4
      v
      w
      +
      v
      3
      w
      )
    • +
    • (
      v
      w
      x
      +
      6
      v
      w
      +
      2
      )
    • is
  • (i)
    (
    v
    w
    x
    +
    2
    v
    w
    +
    v
    3
    w
    +
    2
    )
  • (ii)
    (
    v
    w
    x
    +
    v
    3
    w
    +
    2
    )
  • (iii)
    (
    2
    v
    w
    +
    v
    3
    w
    +
    2
    )
  • (iv)
    (
    2
    v
    w
    x
    +
    2
    v
    w
    +
    v
    3
    w
    +
    2
    )
  • (v)
    (
    v
    w
    x
    +
    4
    v
    w
    +
    v
    3
    w
    +
    2
    )
Question 5
5.
    • The value of
    • (
      6
      u
      2
      )
    • +
    • (
      2
      u
      +
      4
      )
    • is
  • (i)
    (
    7
    u
    +
    2
    )
  • (ii)
    (
    6
    u
    +
    2
    )
  • (iii)
    (
    9
    u
    +
    2
    )
  • (iv)
    (
    8
    u
    +
    2
    )
  • (v)
    (
    11
    u
    +
    2
    )
Question 6
6.
    • Which of the following terms can be subtracted from
    • (
      k
      2
       
      l
      2
       
      j
      )
    • ?
  • (i)
    (
    j
    2
     
    k
    2
     
    l
    2
     
    )
  • (ii)
    (
    9
    j
    k
    2
     
    l
    )
  • (iii)
    5
    j
    2
     
    k
    l
  • (iv)
    5
    j
    k
    2
     
    l
    2
     
  • (v)
    (
    4
    j
    k
    l
    2
     
    )
Question 7
7.
    • The value of
    • 1

      2
      t
      2
       
      u
      2
       
      v
      2
       
    • 1

      4
      t
      2
       
      u
      2
       
      v
      2
       
    • 2

      3
      t
      2
       
      u
      2
       
      v
      2
       
    • 4

      5
      t
      2
       
      u
      2
       
      v
      2
       
    • is
  • (i)
    (
    71

    60
    t
    2
     
    u
    2
     
    v
    2
     
    )
  • (ii)
    (
    73

    62
    t
    2
     
    u
    2
     
    v
    2
     
    )
  • (iii)
    (
    73

    58
    t
    2
     
    u
    2
     
    v
    2
     
    )
  • (iv)
    (
    5

    4
    t
    2
     
    u
    2
     
    v
    2
     
    )
  • (v)
    (
    73

    60
    t
    2
     
    u
    2
     
    v
    2
     
    )
Question 8
8.
    • The value of
    • 1

      2
      g
    • 1

      3
      g
    • is
  • (i)
    1

    4
    g
  • (ii)
    1

    2
    g
  • (iii)
    (
    1

    6
    g
    )
  • (iv)
    1

    8
    g
  • (v)
    1

    6
    g
Question 9
9.
    • The coefficient of term
    • a
    • in polynomial
    • (
      7
      a
      3
       
      4
      a
      2
       
      +
      7
      a
      +
      9
      )
    • is
  • (i)
    6
  • (ii)
    5
  • (iii)
    8
  • (iv)
    7
  • (v)
    10
Question 10
10.
    • The value of
    • 3

      5
      n
      2
       
      o
      2
       
    • +
    • 2

      3
      n
      2
       
      o
      2
       
    • +
    • 1

      4
      n
      2
       
      o
      2
       
    • +
    • 4

      5
      n
      2
       
      o
      2
       
    • is
  • (i)
    135

    58
    n
    2
     
    o
    2
     
  • (ii)
    143

    62
    n
    2
     
    o
    2
     
  • (iii)
    47

    20
    n
    2
     
    o
    2
     
  • (iv)
    137

    60
    n
    2
     
    o
    2
     
  • (v)
    139

    60
    n
    2
     
    o
    2
     
Question 11
11.
    • The value of
    • 8
      p
      q
    • 9
      p
      q
    • (
      3
      p
      q
      )
    • (
      5
      p
      q
      )
    • is
  • (i)
    7
    p
    q
  • (ii)
    6
    p
    q
  • (iii)
    8
    p
    q
  • (iv)
    9
    p
    q
  • (v)
    4
    p
    q
Question 12
12.
    • Which of the following is not a factor of
    • 19
      x
      4
       
      y
      z
      2
       
    • ?
  • (i)
    x
    4
     
    y
    z
  • (ii)
    x
    3
     
    z
  • (iii)
    x
    4
     
    z
    2
     
  • (iv)
    x
    3
     
    y
    z
    2
     
  • (v)
    x
    5
     
    y
    2
     
    z
    2
     
Question 13
13.
    • Which of the following terms can be subtracted from
    • (
      3
      s
      t
      u
      )
    • ?
  • (i)
    (
    7
    s
    )
  • (ii)
    5
    s
    t
    u
  • (iii)
    7
    u
  • (iv)
    (
    3
    s
    u
    )
  • (v)
    3
    s
    t
Question 14
14.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    t
    3
     
    u
    2
     
    v
    2
     
    +
    t
    u
    3
     
    v
    3
     
    +
    9
    u
    2
     
    v
    3
     
    )
  • (ii)
    (
    t
    3
     
    u
    v
    3
     
    +
    t
    v
    2
     
    )
  • (iii)
    6
    t
    u
    2
     
    v
    3
     
  • (iv)
    (
    4
    t
    3
     
    u
    6
    t
    3
     
    v
    3
     
    +
    4
    t
    u
    2
     
    t
    u
    v
    )
  • (v)
    0
Question 15
15.
    • The value of
    • k
    • +
    • 2
      k
    • is
  • (i)
    k
  • (ii)
    3
    k
  • (iii)
    6
    k
  • (iv)
    2
    k
  • (v)
    4
    k
Question 16
16.
    • The constant term in polynomial
    • (
      3
      f
      g
      +
      7
      f
      +
      14
      g
      +
      6
      )
    • is
  • (i)
    4
  • (ii)
    6
  • (iii)
    9
  • (iv)
    7
  • (v)
    5
Question 17
17.
    • The sum of the terms
    • 8
    • ,
    • 7
      r
    • ,
    • 8
      r
    • ,
    • 3
      r
    • ,
    • (
      2
      r
      )
    • is
  • (i)
    (
    17
    r
    +
    8
    )
  • (ii)
    (
    16
    r
    +
    6
    )
  • (iii)
    (
    16
    r
    +
    8
    )
  • (iv)
    (
    15
    r
    +
    8
    )
  • (v)
    (
    16
    r
    +
    10
    )
Question 18
18.
    • The value of
    • (
      7
      p
      3
       
      )
    • 8
      p
      3
       
    • is
  • (i)
    (
    14
    p
    3
     
    )
  • (ii)
    (
    12
    p
    3
     
    )
  • (iii)
    (
    16
    p
    3
     
    )
  • (iv)
    (
    17
    p
    3
     
    )
  • (v)
    (
    15
    p
    3
     
    )
Question 19
19.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    8
    w
    3
     
    x
    y
    3
     
    9
    w
    x
    2
    x
    3
     
    +
    9
    x
    2
     
    y
    3
     
    )
  • (ii)
    6
    w
    3
     
    x
    2
     
    y
    2
     
  • (iii)
    (
    7
    w
    x
    2
     
    y
    3
     
    +
    7
    w
    y
    3
     
    )
  • (iv)
    (
    9
    w
    3
     
    x
    3
     
    y
    4
    w
    3
     
    x
    2
     
    y
    2
     
    +
    5
    w
    2
     
    x
    2
     
    y
    )
  • (v)
    (
    7
    w
    3
     
    y
    2
     
    9
    w
    2
     
    x
    3
     
    +
    6
    w
    2
     
    y
    2
     
    +
    9
    x
    2
     
    y
    )
Question 20
20.
    • The sum of the expressions
    • (
      f
      6
      )
    • ,
    • (
      5
      g
      8
      )
    • ,
    • (
      8
      f
      4
      g
      )
    • ,
    • (
      5
      f
      g
      3
      )
    • ,
    • (
      f
      g
      8
      f
      )
    • is
  • (i)
    (
    4
    f
    g
    17
    f
    9
    g
    17
    )
  • (ii)
    (
    5
    f
    g
    17
    f
    9
    g
    17
    )
  • (iii)
    (
    4
    f
    g
    20
    f
    9
    g
    17
    )
  • (iv)
    (
    3
    f
    g
    17
    f
    9
    g
    17
    )
  • (v)
    (
    4
    f
    g
    15
    f
    9
    g
    17
    )
Question 21
21.
    • Which of the following is a like term of
    • (
      3
      f
      2
       
      g
      h
      )
    • ?
  • (i)
    (
    8
    f
    g
    2
     
    h
    )
  • (ii)
    4
    f
    2
     
    g
    h
  • (iii)
    (
    2
    f
    h
    )
  • (iv)
    (
    9
    g
    )
  • (v)
    4
    f
Question 22
22.
    • The value of the polynomial
    • (
      5
      )
    • at
    •  
    • k
    • =
    • (-4)
    • ,
    • l
    • =
    • (-3)
    • ,
    • m
    • =
    • 2
    •  
    • is
  • (i)
    -6
  • (ii)
    -3
  • (iii)
    -7
  • (iv)
    -4
  • (v)
    -5
Question 23
23.
    • Which of the following terms is a like term of
    • 3
      w
      2
       
    • ?
  • (i)
    6
    w
    3
     
  • (ii)
    9
  • (iii)
    w
    2
     
  • (iv)
    3
    w
    4
     
  • (v)
    (
    8
    w
    )
Question 24
24.
    • The value of
    • (
      6
      p
      2
       
      q
      2
       
      r
      2
       
      )
    • (
      6
      p
      2
       
      q
      2
       
      r
      2
       
      )
    • 5
      p
      2
       
      q
      2
       
      r
      2
       
    • (
      8
      p
      2
       
      q
      2
       
      r
      2
       
      )
    • is
  • (i)
    2
    p
    2
     
    q
    2
     
    r
    2
     
  • (ii)
    0
  • (iii)
    5
    p
    2
     
    q
    2
     
    r
    2
     
  • (iv)
    3
    p
    2
     
    q
    2
     
    r
    2
     
  • (v)
    4
    p
    2
     
    q
    2
     
    r
    2
     
Question 25
25.
    • The value of
    • 1

      2
      y
      2
       
    • +
    • 3

      5
      y
      2
       
    • +
    • 2

      5
      y
      2
       
    • is
  • (i)
    3

    2
    y
    2
     
  • (ii)
    2
    y
    2
     
  • (iii)
    5

    2
    y
    2
     
  • (iv)
    5

    4
    y
    2
     
  • (v)
    1

    2
    y
    2
     
    Assignment Key

  •  1) (v)
  •  2) (i)
  •  3) (iv)
  •  4) (i)
  •  5) (iv)
  •  6) (iv)
  •  7) (v)
  •  8) (v)
  •  9) (iv)
  •  10) (v)
  •  11) (i)
  •  12) (v)
  •  13) (ii)
  •  14) (v)
  •  15) (ii)
  •  16) (ii)
  •  17) (iii)
  •  18) (v)
  •  19) (ii)
  •  20) (i)
  •  21) (ii)
  •  22) (v)
  •  23) (iii)
  •  24) (iv)
  •  25) (i)